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Finding the Fourth Proportional to 6,197, 9,295.50 and 2,093

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Solution

The fourth proportional to 6,197, 9,295.50 and 2,093 is: 3,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 9,295.50 = 2,093 : x
  2. Step 2: Convert to fraction form
    6,197/9,295.50 = 2,093/x
  3. Step 3: Cross multiply
    6,197x = 9,295.50 × 2,093
  4. Step 4: Simplify right side
    6,197x = 19,455,481.50
  5. Step 5: Solve for x
    x = 19,455,481.50/6,197
  6. Step 6: Final answer
    x = 3,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.